First slide

Phasors and Phasor Diagrams

Question

Statement 1: If the frequency of alternating current in an AC circuit consisting of an inductance coil is increased, then current gets decreased.
Statement 2: The current is inversely proportional to frequency of alternating current.

Moderate

A

Both statements 1 and 2 are correct
B

Statement 1 is correct statement 2 is incorrect
C

Statement 1 is incorrect statement 2 is correct
D

Both statements 1 and 2 are incorrect

Solution

When frequency of an alternating current is increased, the effective resistance of the inductive coil increases. current $(X_{L} = ωL = 2 πfL)$ in the circuit containing inductor is given by $I = \frac{V}{X_{L}} = \frac{V}{2 πfL} .$ As inductive resistance of the inductor increases, current in the circuit decreases.

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